Information on Result #615914
Linear OA(9106, 729, F9, 40) (dual of [729, 623, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9109, 732, F9, 41) (dual of [732, 623, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(9106, 732, F9, 40) (dual of [732, 626, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(9113, 736, F9, 42) (dual of [736, 623, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(9107, 736, F9, 40) (dual of [736, 629, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(9117, 739, F9, 43) (dual of [739, 622, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(9118, 741, F9, 43) (dual of [741, 623, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(9108, 739, F9, 40) (dual of [739, 631, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(9109, 741, F9, 40) (dual of [741, 632, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(9122, 745, F9, 44) (dual of [745, 623, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(9111, 745, F9, 40) (dual of [745, 634, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(9112, 747, F9, 40) (dual of [747, 635, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(9128, 751, F9, 46) (dual of [751, 623, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(9113, 751, F9, 40) (dual of [751, 638, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(9133, 756, F9, 47) (dual of [756, 623, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(9115, 756, F9, 40) (dual of [756, 641, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(9139, 762, F9, 48) (dual of [762, 623, 49]-code) | [i] | ✔ | |
| 17 | Linear OA(9117, 759, F9, 40) (dual of [759, 642, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(9118, 762, F9, 40) (dual of [762, 644, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(9120, 767, F9, 40) (dual of [767, 647, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(9121, 769, F9, 40) (dual of [769, 648, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(9122, 772, F9, 40) (dual of [772, 650, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(9123, 776, F9, 40) (dual of [776, 653, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(9124, 780, F9, 40) (dual of [780, 656, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(9128, 787, F9, 40) (dual of [787, 659, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(9130, 792, F9, 40) (dual of [792, 662, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(9132, 797, F9, 40) (dual of [797, 665, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(9137, 758, F9, 48) (dual of [758, 621, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(9132, 753, F9, 47) (dual of [753, 621, 48]-code) | [i] | ✔ | |
| 29 | Linear OA(9134, 758, F9, 47) (dual of [758, 624, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(9129, 753, F9, 46) (dual of [753, 624, 47]-code) | [i] | ✔ | |
| 31 | Linear OA(9123, 747, F9, 44) (dual of [747, 624, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(9114, 753, F9, 40) (dual of [753, 639, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(9116, 758, F9, 40) (dual of [758, 642, 41]-code) | [i] | ✔ | |
| 34 | Linear OA(9119, 764, F9, 40) (dual of [764, 645, 41]-code) | [i] | ✔ | |